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Triangle has sides and
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
Triangle
P
Q
R
PQR
P
QR
has sides
(
x
+
1
)
cm
,
(
2
x
−
1
)
cm
(x+1)\ \text{cm},\ (2x-1)\ \text{cm}
(
x
+
1
)
cm
,
(
2
x
−
1
)
cm
and
(
2
x
+
3
)
cm
(2x+3)\ \text{cm}
(
2
x
+
3
)
cm
. Triangle
X
Y
Z
XYZ
X
Y
Z
is similar to
△
P
Q
R
\triangle PQR
△
P
QR
and has corresponding sides
(
3
x
+
3
)
cm
,
(
6
x
−
3
)
cm
(3x+3)\ \text{cm},\ (6x-3)\ \text{cm}
(
3
x
+
3
)
cm
,
(
6
x
−
3
)
cm
and
(
6
x
+
9
)
cm
(6x+9)\ \text{cm}
(
6
x
+
9
)
cm
. If the perimeter of
△
X
Y
Z
\triangle XYZ
△
X
Y
Z
is
45
cm
45\ \text{cm}
45
cm
, find the value of
x
x
x
. (a)
3
3
3
(b)
12
5
\dfrac{12}{5}
5
12
(c)
2
2
2
(d)
18
5
\dfrac{18}{5}
5
18
Related theory
Similarity of Triangles
Similarity
Linear Equations in One Variable
Triangle similarity conditions
Triangles
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